A magnetic dipole m = mk is placed in an otherwise uniform external magnetic field Be = - Bok . (a) Write an expression for the radial, polar and azimuthal components of magnetic field B(r, 0, 6) due to ñ only . (b) Show that in the combined field there exists a certain spherical surface centered on the dipole through which no field lines pass, Find its radius. (c) Sketch the magnetic field lines in the region around the dipole in presence of Bez.
A magnetic dipole m = mk is placed in an otherwise uniform external magnetic field Be = - Bok . (a) Write an expression for the radial, polar and azimuthal components of magnetic field B(r, 0, 6) due to ñ only . (b) Show that in the combined field there exists a certain spherical surface centered on the dipole through which no field lines pass, Find its radius. (c) Sketch the magnetic field lines in the region around the dipole in presence of Bez.
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Transcribed Image Text:A magnetic dipole m = mk is placed in an otherwise uniform external magnetic
field Ben = - Bok .
(a) Write an expression for the radial, polar and azimuthal components of magnetic
field B(r, 0, ø) due to m only.
(b) Show that in the combined field there exists a certain spherical surface centered
on the dipole through which no field lines pass, Find its radius.
(c) Sketch the magnetic field lines in the region around the dipole in presence of
Bez.
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